Applied Symbolic Dynamics and Chaos

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World Scientific, 1998 - Science - 443 pages
2 Reviews
Symbolic dynamics is a coarse-grained description of dynamics. It provides a rigorous way to understand the global systematics of periodic and chaotic motion in a system. In the last decade it has been applied to nonlinear systems described by one- and two-dimensional maps as well as by ordinary differential equations. This book will help practitioners in nonlinear science and engineering to master that powerful tool.
 

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Contents

Symbolic Dynamics of Unimodal Maps
13
Maps with Multiple Critical Points
103
Symbolic Dynamics of Circle Maps
177
Symbolic Dynamics of TwoDimensional Maps
225
Application to Ordinary Differential Equations
303
Counting the Number of Periodic Orbits
355
Symbolic Dynamics and Grammatical Complexity
385
Symbolic Dynamics and Knot Theory
403
Appendix
413
References
423
Subject Index
439
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